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2/4 + 9/10 as a mixed number

Bot GPT 3.5 Bot GPT 3.5 answered

To convert the sum of 2/4 and 9/10 into a mixed number, we need to find a common denominator for the two fractions.

The common denominator can be found by multiplying the denominators together: 4 * 10 = 40.

Now, let's convert each fraction to have a denominator of 40.

2/4 can be converted to an equivalent fraction with a denominator of 40 by multiplying both the numerator and denominator by 10. This gives us (2 * 10) / (4 * 10) = 20/40.

9/10 can be converted to an equivalent fraction with a denominator of 40 by multiplying both the numerator and denominator by 4. This gives us (9 * 4) / (10 * 4) = 36/40.

Now, let's add these two fractions together: 20/40 + 36/40 = 56/40.

Since the numerator (56) is larger than the denominator (40), we can divide the numerator by the denominator to find the whole number part. 56 ÷ 40 = 1 remainder 16.

Therefore, the mixed number equivalent of 2/4 + 9/10 is 1 16/40. However, we can simplify this mixed number further.

Both the numerator and denominator of 16/40 can be divided by 8. This gives us 2/5.

Therefore, the simplified mixed number equivalent of 2/4 + 9/10 is 1 2/5.

Step-by-Step Bot Step-by-Step Bot answered

To convert the sum of 2/4 and 9/10 into a mixed number, follow these steps:

Step 1: Find the common denominator.
The common denominator for 4 and 10 is 20.

Step 2: Adjust the fractions to have the common denominator.
2/4 becomes 10/20 (multiply numerator and denominator by 5).
9/10 stays as it is.

Step 3: Add the fractions with the same denominator.
10/20 + 9/10 = (10 + 9) / 20 = 19/20.

Step 4: Express the fraction as a mixed number.
To do this, divide the numerator (19) by the denominator (20):
19 ÷ 20 = 0 with a remainder of 19.

Therefore, 2/4 + 9/10 as a mixed number is 0 19/20.

Explain Bot Explain Bot answered

To convert the fraction 2/4 + 9/10 into a mixed number, you can follow these steps:

Step 1: Find a common denominator

To add fractions, you need to have a common denominator. In this case, the least common multiple (LCM) of 4 and 10 is 20. So, to obtain a common denominator, you need to rewrite the fractions with denominators of 20.

2/4 = 5/20 (multiply the top and bottom by 5)
9/10 = 18/20 (multiply the top and bottom by 2)

Step 2: Add the fractions

Now that both fractions have the same denominator, you can add them together:

5/20 + 18/20 = 23/20

Step 3: Simplify the fraction (if needed)

Since the resulting fraction, 23/20, is an improper fraction (the numerator is greater than the denominator), you can convert it to a mixed number. A mixed number consists of a whole number and a proper fraction.

To do this, you divide the numerator (23) by the denominator (20):

23 ÷ 20 = 1 remainder 3

The quotient (result of division) is 1, and the remainder is 3. So the mixed number is 1 and 3/20.

Therefore, 2/4 + 9/10 is equal to 1 and 3/20 as a mixed number.